769041408 has 88 divisors (see below), whose sum is σ = 2065668640. Its totient is φ = 254361600.

The previous prime is 769041391. The next prime is 769041419. The reversal of 769041408 is 804140967.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426108 + ... + 427908.

Almost surely, 2^769041408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032834320).

769041408 is an abundant number, since it is smaller than the sum of its proper divisors (1296627232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

769041408 is a wasteful number, since it uses less digits than its factorization.

769041408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 769041408 is about 27731.5958430091. The cubic root of 769041408 is about 916.1851357578.

The spelling of 769041408 in words is "seven hundred sixty-nine million, forty-one thousand, four hundred eight".